What will be the change in the volume of a cube when its side becomes 10 times the original side?
(a) Volume becomes 1000 times.
(b) Volume becomes 10 times.
(c) Volume becomes 100 times.
(d) Volume becomes 1/1000 times
Solution:
If the side of a cube is x then its volume is x³
If the side of the cube becomes 10x then its volume will become:
Volume of Cube with side 10x = (10x)³
New Volume = 1000 x³
Original volume = x³
New Volume = 1000 times the original volume
The answer is choice (a)
✦ Try This: What will be the change in the volume of a cube when its side becomes 1/10th of the original side?
(a) Volume becomes 1000 times.
(b) Volume becomes 10 times.
(c) Volume becomes 100 times.
(d) Volume becomes 1/1000 times
If the side of a cube is x then its volume is x³
If the side of the cube becomes x/10 then its volume will become:
Volume of Cube with side x/10 = (x/10)³
New Volume = x³/1000
Original volume = x³
New Volume = (1/1000) times the original volume
The answer is choice (d)
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11
NCERT Exemplar Class 8 Maths Chapter 11 Sample Problem 2
What will be the change in the volume of a cube when its side becomes 10 times the original side? (a) Volume becomes 1000 times. (b) Volume becomes 10 times. (c) Volume becomes100 times.(d) Volume becomes 1/1000 times
Summary:
The change in the volume of a cube when its side becomes 10 times the original side is that it will become 1000 times the original volume
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